88,501,948

2² × 241 × 91807

88,501,948 factors as 2^2 × 241 × 91807. Its 12 positive divisors give a proper-divisor sum of 67,020,804, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^2 × 241 × 91807

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 155,522,752

Proper Divisor Sum 67,020,804

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #88501937 ← → #88501967

Radix Representation

Decimal	88501948
Binary	101010001100110111010111100 (27 bits)
Octal	0o521467274
Hexadecimal	0x5466EBC

Divisor Catalog (12)

1 2 4 241 482 964 91,807 183,614 367,228 22,125,487 44,250,974 88,501,948

Collatz Trajectory (205 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

88,501,948 44,250,974 22,125,487 66,376,462 33,188,231 99,564,694 49,782,347 149,347,042 74,673,521 224,020,564 112,010,282 56,005,141 168,015,424 84,007,712 42,003,856 21,001,928 10,500,964 5,250,482 2,625,241 7,875,724 3,937,862 1,968,931 5,906,794 2,953,397 8,860,192 4,430,096 2,215,048 1,107,524 553,762 276,881 830,644 415,322 207,661 622,984 311,492 155,746 77,873 233,620 116,810 58,405 175,216 87,608 43,804 21,902 10,951 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599

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